Expression of a variable from the formula + work - practice problems
Number of problems found: 97
- Working together
Zeru can complete a certain job in 5 days, and Tulu can complete the same job in 3 days. How long will they complete the job if they work together? - Work
2/5 of the employees in a company drive to work, 1/3 travel by bus, and the rest walk. Find the fraction of those who walk. - Together 83245
Jarka and Jana decided to decorate their common room. If Jarka painted it alone, it would take her 4 hours, and Jane 3 hours. How long would they paint the room if they painted together? - Simultaneously 82966
The tank with a volume of 15 hl has two inlets. One flows 5 liters per minute, the other 3 liters per minute. How long will it take for the tank to be filled with both inflows simultaneously?
- Concerning 82883
Conductor A has an electrical potential of +140V concerning the Earth; conductor B has a potential of -60V. How much electric charge will we transfer from wire B to wire A if we do the work of 4.10-4 Joules? - Together 81046
Two painters are painting the factory fence together. If everyone worked alone, the first would finish the job in 16 days, the second in 20 days. When will they finish the work together? - Production 80546
In a factory, 10 lines produce many screws in 8 days. How many days will production be extended if two of them fail? - The interior
The interior angle of a regular polygon is x. If x is 9° less than the average of 153° and 145°, find the number of sides of the polygon. - Improvements 70344
Two workers work equally efficiently and together can complete a given task in 5 hours. One worker improved his machine, changed his workflow, and increased his output by 40%. How long will it take both workers to complete the given task?
- Hectares 68854
Tractor drivers plow "h" hectares of land per day. How many hectares of land would they have to plow per day to plow the 585 ha area three days earlier than planned? For which "h" does this problem have a positive solution? - Two companies
The two companies did work together for 100 days. The first company would do it in 150 days. How many days would the work take the second company? - 10 workers
Ten workers will perform the assigned work in 8 days. How long will it take to get the job done if six workers work for six days, and then another six join them? - Hour salary + fix
Devin recently hired a contractor to do some necessary work. The contractor quoted $395 for parts plus $62 an hour for labor. Let x represent the number of labor hours worked. Write an algebraic expression to represent the total cost of the repairs. - Part-timers 47393
Fifty part-time workers planted 5,200 trees in a forest on a weekend brigade the forest in 9 hours. How many more part-timers do they have to lose next time to plant the same number of trees in eight hours?
- Together 46221
Jeníček and Ferek brigade together. They divided the work in a ratio of 4: 6. Ferko was paid 24 euros. How many euros did they earn together? - Simultaneously 39941
The reservoir is filled with a large pump in 20 hours, a medium in 24 hours, and a small one in 30 hours. How many hours will it be filled if all pumps are switched on simultaneously? - Products 37321
Eight workers produce 2048 products per shift. In how many hours would ten workers produce the same amount of products? (shift is 8 hours) - Carpenter 36293
The carpenter did the work in 3 2/5 hours. What part of the work did he do in an hour? - Six painters
Six painters paint an area of 120 m² in 4 hours. How long does it take for 12 painters to paint 480 m² with the same performance?
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